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You own an apartment complex made up of 10 units each of which is rented out at

ID: 2761814 • Letter: Y

Question

You own an apartment complex made up of 10 units each of which is rented out at a monthly rent of $1000. You purchased the facility 2 years ago for $1,000,000, and plan to hold the complex for another 8 years at which time you expect to sell the facility for $1,800,000. Assume your costs of operation for the complex (upkeep, property taxes, employee wages, etc.) amount to $7,500 per month. If you expect to reinvest any cash flows (net income) from the apartment complex at an annual reinvestment rate of 6.0%, what is your expected Horizon Yield for this real estate investment? (Assume a monthly reinvestment of net income payments over the year.) Please explain how you get answer.

Explanation / Answer

No Of units                        10.0 Monthly rent per unit                1,000.0 Monthly rent Income              10,000.0 Monthly expenses                7,500.0 Monthly Net Income=                2,500.0 Reinvestment interest =6% pa= 6/12=                      0.50 % per month Reinvestment period =10 years=                    120.0 months Future value of annuity payments= FV= A*[(1+k)^n-1]/k A=2500 per month n=120 months k =0.5% per month FV = 2500*[1.005^120-1]/0.005 FV = 406,698.40 So The value of the fund after 10 years= $     406,698.40 Sales price of building after 10 years=        1,800,000.0 Less Purchase cost of building        1,000,000.0 Net Yield over 10 years=        1,206,698.4 Yiled % = 120.67% Yearly Avearge Yield= 12.07%

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